What is the limit as x approaches 0 of f(x)(1-x^2) ?

The limit as x approaches 0 of f(x)(1-x^2) is f(0)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches 0 of f(x)(1-x^2)

x \to 0 lim (f (x) (1 - x^{2}))

f (0)

Solution steps

x \to 0 lim (f (x) (1 - x^{2}))

Plug in the value

x = 0

, assuming the function is continuous at this point

= f (0) (1 - 0^{2})

Simplify

= f (0)

x \to 9 lim (x + 3)

x \to - 0 lim (\frac{sin ( 4 x )}{x})

x \to \frac{1}{2} + lim (\frac{4}{2 x - 1})

x \to 3 lim ((3 - x) ln (x - 3))

x \to 0 + lim (x ln (8 x))

What is the limit as x approaches 0 of f(x)(1-x^2) ?
The limit as x approaches 0 of f(x)(1-x^2) is f(0)